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Convergence rate of estimators of clustered panel models with misclassification

Andreas Dzemski, Ryo Okui

arXiv 11 Aug 2020 · Econometrics · publishedEconomics Letters (2021) · 2 citations (OpenAlex)

arXiv:2008.04708 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We study kmeans clustering estimation of panel data models with a latent group structure and $N$ units and $T$ time periods under long panel asymptotics. We show that the group-specific coefficients can be estimated at the parametric root $NT$ rate even if error variances diverge as $T \to \infty$ and some units are asymptotically misclassified. This limit case approximates empirically relevant settings and is not covered by existing asymptotic results.

Citation extraction

9
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Bonhomme, Elena (2015) Grouped patterns of heterogeneity in panel data0.9098475%
2Su, Liangjun, Shi, Zhentao, Phillips, Peter (2016) Identifying latent structures in panel data0.51121100%
3Bonhomme, Thibaut, Manresa, Elena (2019) Discretizing unobserved heterogeneity0.40511100%
4Okui, Ryo, Wang, Wendun (2020) Heterogeneous structural breaks in panel data models self0.40511100%
5Pollard, David (1981) Strong consistency of k-means clustering0.40511100%
6Pollard, David (1982) A central limit theorem for $ k $-means clustering0.40511100%
7Vogt, Michael, Linton, Oliver (2017) Classification of nonparametric regression functions in heterogeneous panels0.40511100%
8Wang, Wuyi, Phillips, Peter C. B., Su, Liangjun (2018) Homogeneity pursuit in panel data models: theory and applications0.40511100%
9Kuchibhotla, Arun Kumar, Chakrabortty, Abhishek (2018) Moving beyond sub-gaussianity in high-dimensional statistics: Applications in covariance estimation and linear regression0.000110%

Showing the top 9 of 9 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Inference methods for unit-specific coefficients in panel data models with latent group structure1.00064
2Confidence Set for Group Membership1.00053
3Bias-Reduced Estimation of Finite Mixtures : An Application to Latent Group Structures in Panel Data0.64422
4Policy Learning with Observational Data : The Case of Hepatitis C Treatment for HIV/HCV Co-Infected Patients0.40511